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Simplifying 0.3(x + 1) = 0.16(3x + -5) Reorder the terms: 0.3(1 + x) = 0.16(3x + -5) (1 * 0.3 + x * 0.3) = 0.16(3x + -5) (0.3 + 0.3x) = 0.16(3x + -5) Reorder the terms: 0.3 + 0.3x = 0.16(-5 + 3x) 0.3 + 0.3x = (-5 * 0.16 + 3x * 0.16) 0.3 + 0.3x = (-0.8 + 0.48x) Solving 0.3 + 0.3x = -0.8 + 0.48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.48x' to each side of the equation. 0.3 + 0.3x + -0.48x = -0.8 + 0.48x + -0.48x Combine like terms: 0.3x + -0.48x = -0.18x 0.3 + -0.18x = -0.8 + 0.48x + -0.48x Combine like terms: 0.48x + -0.48x = 0.00 0.3 + -0.18x = -0.8 + 0.00 0.3 + -0.18x = -0.8 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -0.18x = -0.8 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.18x = -0.8 + -0.3 -0.18x = -0.8 + -0.3 Combine like terms: -0.8 + -0.3 = -1.1 -0.18x = -1.1 Divide each side by '-0.18'. x = 6.111111111 Simplifying x = 6.111111111
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